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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 106 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of two numbers is 119 and their difference is 71. What is the larger number?
  2. 2.The sum of two numbers is 61 and their difference is 11. What is the smaller number?
  3. 3.The sum of two numbers is 162 and their difference is 36. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  5. 5.One number is 2 times another. Their difference is 8. What is the smaller number?
  6. 6.One number is 4 times another. Their difference is 93. What is the smaller number?
  7. 7.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 94. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  10. 10.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  11. 11.One number is 5 times another. Their difference is 80. What is the smaller number?
  12. 12.One number is 5 times another. Their difference is 116. What is the smaller number?
  13. 13.The sum of 4 consecutive numbers is 130. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 57. What is the largest of them?
  15. 15.One number is 6 times another. Their difference is 140. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  18. 18.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  19. 19.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  21. 21.One number is 4 times another. Their difference is 60. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  23. 23.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  24. 24.The sum of two numbers is 146 and their difference is 46. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 132. What is the largest of them?
  26. 26.The sum of 3 consecutive numbers is 18. What is the largest of them?
  27. 27.The sum of 3 consecutive even numbers is 30. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  29. 29.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  30. 30.The sum of 3 consecutive numbers is 183. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  32. 32.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  33. 33.One number is 3 times another. Their difference is 66. What is the smaller number?
  34. 34.One number is 5 times another. Their difference is 88. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  36. 36.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  37. 37.One number is 5 times another. Their difference is 16. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  39. 39.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?

Answer key

  1. 95
  2. 25
  3. 63
  4. 45
  5. 8
  6. 31
  7. 79
  8. 25
  9. 89
  10. 13
  11. 20
  12. 29
  13. 31
  14. 20
  15. 28
  16. 9
  17. 43
  18. 49
  19. 36
  20. 27
  21. 20
  22. 8
  23. 32
  24. 50
  25. 45
  26. 7
  27. 12
  28. 23
  29. 34
  30. 60
  31. 27
  32. 79
  33. 33
  34. 22
  35. 18
  36. 68
  37. 4
  38. 26
  39. 56
  40. 19

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